In the field-free case, we find the dissipative corrections to the currents, \(N^\mu \)  and \(T^{\mu \nu }\)  remain unaffected by the spin-polarization. However, we obtained the dissipation mechanism of the spin degrees of freedom for the first time to be given by [1]},
\(\delta S^{\lambda ,\mu \nu } &= \tau _{\rm eq} \Big [ B^{\lambda ,\mu \nu }_{\Pi }\, \theta + B^{\kappa \lambda ,\mu \nu }_{n}\, (\nabla _\kappa \xi ) + B^{\alpha \kappa \lambda ,\mu \nu }_{\pi }\, \sigma _{\alpha \kappa } + B^{\kappa \lambda \alpha \beta ,\mu \nu }_{\Sigma }\, (\nabla _\kappa \omega _{\beta \alpha }) \Big ]. \) 
